111932928 has 100 divisors (see below), whose sum is σ = 334214100. Its totient is φ = 37297152.

The previous prime is 111932921. The next prime is 111932929. The reversal of 111932928 is 829239111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111932892 and 111932901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111932921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40123 + ... + 42821.

It is an arithmetic number, because the mean of its divisors is an integer number (3342141).

Almost surely, 2^111932928 is an apocalyptic number.

111932928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167107050).

111932928 is an abundant number, since it is smaller than the sum of its proper divisors (222281172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111932928 is an frugal number, since it uses more digits than its factorization.

111932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 111932928 is about 10579.8359155518. The cubic root of 111932928 is about 481.9322115602.

The spelling of 111932928 in words is "one hundred eleven million, nine hundred thirty-two thousand, nine hundred twenty-eight".